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Finding the Fourth Proportional to 7,195.96, 10,801.29 and 5,942.56

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Solution

The fourth proportional to 7,195.96, 10,801.29 and 5,942.56 is: 8,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.96 : 10,801.29 = 5,942.56 : x
  2. Step 2: Convert to fraction form
    7,195.96/10,801.29 = 5,942.56/x
  3. Step 3: Cross multiply
    7,195.96x = 10,801.29 × 5,942.56
  4. Step 4: Simplify right side
    7,195.96x = 64,187,259.90
  5. Step 5: Solve for x
    x = 64,187,259.90/7,195.96
  6. Step 6: Final answer
    x = 8,919.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.